Introduction to Mechanics of Deformable Solids |
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Page 179
... Compatibility of strains The condition of deformation or compatibility follows directly from the expression for circumferential strain in terms of outward THICK - WALLED PRESSURE VESSELS / 179 radial displacement u ( Fig . 9.5c ) , Σπυ ...
... Compatibility of strains The condition of deformation or compatibility follows directly from the expression for circumferential strain in terms of outward THICK - WALLED PRESSURE VESSELS / 179 radial displacement u ( Fig . 9.5c ) , Σπυ ...
Page 321
... compatibility , and stress - strain relations have been written ; boundary conditions have been satisfied . Although we shall not write general three - dimensional partial differential equations of equilibrium and compatibility , they ...
... compatibility , and stress - strain relations have been written ; boundary conditions have been satisfied . Although we shall not write general three - dimensional partial differential equations of equilibrium and compatibility , they ...
Page 381
... compatibility If in the two - bar truss example of Fig . 15.2a the equilibrium set F ' , P ' = F ' / ( VIRTUAL - WORK EQUATION AND TECHNIQUE / 381 An arbitrary equilibrium set gives a geometric condition of deforma- tion or compatibility.
... compatibility If in the two - bar truss example of Fig . 15.2a the equilibrium set F ' , P ' = F ' / ( VIRTUAL - WORK EQUATION AND TECHNIQUE / 381 An arbitrary equilibrium set gives a geometric condition of deforma- tion or compatibility.
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applied assemblage axes axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell shown in Fig simple shear solution statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry T₁ T₂ temperature tensile tensile stress thick-walled time-dependent torque torsion uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ